Insert a rational number between 5/9 and 7/13.

Insert a rational number between 5/9 and 7/13, and arrange in ascending order.

Solution:

A rational number between 5/9 and 7/13
Rational and Irrational Numbers Class 9 ICSE ML Aggarwal img 44
Therefore, in ascending order – 7/13, 64/117, 5/9.

Insert four rational numbers between 4/5 and 5/6.

Solution:

Rational numbers between 4/5 and 5/6
Here LCM of 5, 6 = 30
Rational and Irrational Numbers Class 9 ICSE ML Aggarwal img 45
So the four rational numbers are
121/150, 122/150, 123/150, 124/150
By further simplification
121/150, 61/75, 41/50, 62/75

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